Abstract
In this chapter, the notions introduced in Chapter 3 are extended to the case in which the uncertain information is assigned by means of marginal random sets on several different spaces, Si, or by means of a random relation on the Cartesian product S = ×S i . The multifold concept of independence is firstly introduced within the general framework of imprecise probabilities, and then specialized to random relations. A definition for correlation between variables constrained by random sets/relations is proposed.
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© 2010 Springer-Verlag Berlin Heidelberg
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Bernardini, A., Tonon, F. (2010). Random Relations. In: Bounding Uncertainty in Civil Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11190-7_4
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DOI: https://doi.org/10.1007/978-3-642-11190-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11189-1
Online ISBN: 978-3-642-11190-7
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